2017年IAO理论高年组第2题-外星峰会

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低年组对应题目:2017年IAO理论低年组第2题-外星峰会

英文题目

β-2. Extraterrestrial summit. Extraterrestrial Bear and Extraterrestrial Penguin living in different planetary systems of our Galaxy, came to a summit organized at the Intercivilizational Space Station (ISS) somewhere in the depths of space, where no one star is visible brighter than 1^m. However, it appeared that both stars, from which planetary systems the Bear and the Penguin came, are visible with the naked eye at the summit (assume the sensitivity of the retina of these extraterrestrial animals to be the same as of humans), and the angular distance between them is equal to β (30 °< β < 90°).

2.1. Find the possible minimum and maximum linear distance between the native stars of the Bear and the Penguin? Give the answers in numerical form, and if it is not possible, as a function of the angle β. Consider the planetary systems are possible near the stars of spectral Classes from A to M of main sequence.

2.2. Include an artistic picture with an image of the Extraterrestrial Bear and Extraterrestrial Penguin (and possibly Other extraterrestrial animals) on the ISS.